|Institution|Location|Nickname|Founded|Historical Affiliation|Enrollment|Primary Conference|
|---|---|---|---|---|---|---|
|Brown University|Providence, Rhode Island|Bears|1764|Nonsectarian, founded by Baptists, but founding charter promises "no religious tests" and "full liberty of conscience"|7,744|Ivy League|
|Clarkson University|Potsdam, New York|Golden Knights|1896|Private/Non-sectarian|3,100|Liberty League (D-III)|
|Colgate University|Hamilton, New York|Raiders|1819|Private/Non-sectarian, founded by Baptists|2,800|Patriot League|
|Cornell University|Ithaca, New York|Big Red|1865|Private/Non-sectarian|20,400|Ivy League|
|Dartmouth College|Hanover, New Hampshire|Big Green|1769|Private/Congregationalist|5,753|Ivy League|
|Harvard University|Cambridge, Massachusetts|Crimson|1636|Private/Unitarian|20,042|Ivy League|
|Princeton University|Princeton, New Jersey|Tigers|1746|Nonsectarian, but founded by Presbyterians|6,677|Ivy League|
|Quinnipiac University|Hamden, Connecticut|Bobcats|1929|Private/Non-sectarian|7,700|MAAC|
|Rensselaer Polytechnic Institute|Troy, New York|Engineers|1824|Private/Non-sectarian|6,376|Liberty League (D-III)|
|St. Lawrence University|Canton, New York|Saints|1856|Non-denominational, founded by Universalist Church of America|2,100|Liberty League (D-III)|
|Union College|Schenectady, New York|Dutchmen|1795|Private/Non-sectarian|2,100|Liberty League (D-III)|
|Yale University|New Haven, Connecticut|Bulldogs|1701|Private/Congregationalist|11,483|Ivy League|

Question: how many institutions have a private historical affiliation?
Answer: 9